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Improper Fractions

  • Definition of Improper Fractions: An improper fraction is a type of fraction in which the numerator (top number) is equal to or greater than the denominator (bottom number).
  • Representation of Improper Fractions: Improper fractions greater than 1 can be represented using different models like bar models and part-whole models.
  • Conversion of Improper Fractions: Improper fractions can be converted to whole numbers and mixed numbers for better understanding.

Bar Model

  • In a bar model, fractions can be visually represented. Each part of the bar represents a fraction of the whole.
  • For example, if a bar is split into three equal parts, each part represents one-third (1/3).
  • Three thirds make one whole, which can be represented as 3/3 = 1 whole.

Fractions greater than 1 | Year 5 Mathematics

Question for Fractions greater than 1
Try yourself:
Which of the following best represents the improper fraction 5/2 using a bar model?
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Part-Whole Model

  • Concept of Part-Whole Model: The part-whole model is a visual aid that helps in converting improper fractions into mixed numbers. It shows how a fraction can be broken down into wholes and parts.
  • Example: What is 8/3 as a mixed number?
    In this diagram 8/3 has been partitioned into 6/3 and 2/3.
    The first part is 6/3 which is the equivalent of 2 wholes and the second part is the fraction which represents 2/3.
    8/3 = 2 wholes and two thirds which can also be written as Fractions greater than 1 | Year 5 Mathematics

Fractions greater than 1 | Year 5 Mathematics

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FAQs on Fractions greater than 1 - Year 5 Mathematics

1. What is an improper fraction?
Ans. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
2. How can improper fractions be represented using a bar model?
Ans. Improper fractions can be represented using a bar model by showing the numerator as the length of the bar and the denominator as the total length of the bar.
3. How are improper fractions related to part-whole models?
Ans. Improper fractions can be represented in part-whole models by showing the numerator as one part of the whole and the denominator as the total number of parts.
4. How can you convert an improper fraction to a mixed number?
Ans. To convert an improper fraction to a mixed number, divide the numerator by the denominator to get the whole number part, and the remainder becomes the numerator of the fractional part.
5. Why are fractions greater than 1 important in mathematics?
Ans. Fractions greater than 1 are important as they represent quantities greater than a whole, helping us understand and work with values that are not whole numbers.
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